Question

Geometry Question! Please Help !
http://www.image-maps.com/uploaded_files/6201306271847028_Screen%20shot%202013-06-27%20at%206.47.07%20PM.png

Answer 1

Is there also a small mark on the bottom side like there are marks on the other three sides? it's hard to tell from the figure.

Answer 2

yes, there is a mark on the middle-bottom ,, sorry it got cut off..

Answer 3

That means all sides of the parallelogram are congruent, so the parallelogram is a rhombus.
The diagonal that is drawn makes two triangles. Each triangle has two congruent sides, so the opposite angles are congruent. That means angles 2 and 3 are congruent. Angles 1 and 4 are congruent.
For the triangle on the right side, one angle measures 116 degrees and the other two angles are congruent. The three measure must add to 180, so you can find the measures of angles 1 and 3
In a parallelogram, opposite angles are congruent. The angle of the rhombus opposite the 116 degree angle also measures 116. It is also an angle in a triangle with two congruent sides and congruent angles 1 and 4, so angles 1 and 4 measure the same as angles 2 and 3.